• Title/Summary/Keyword: S-K Constitutive Equation

Search Result 79, Processing Time 0.022 seconds

Numerical Simulation of Flow-Induced Birefringence in Injection Molded Disk

  • Lee H. S.;Shyu G. D.;Isayev A. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2003.04a
    • /
    • pp.41-47
    • /
    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process - filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.

  • PDF

Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
    • /
    • v.56 no.1
    • /
    • pp.137-156
    • /
    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

Thermo-elastic analysis of rotating functionally graded micro-discs incorporating surface and nonlocal effects

  • Ebrahimi, Farzad;Heidar, Ebrahim
    • Advances in aircraft and spacecraft science
    • /
    • v.5 no.3
    • /
    • pp.295-318
    • /
    • 2018
  • This research studies thermo-elastic behavior of rotating micro discs that are employed in various micro devices such as micro gas turbines. It is assumed that material is functionally graded with a variable profile thickness, density, shear modulus and thermal expansion in terms of radius of micro disc and as a power law function. Boundary condition is considered fixed-free with uniform thermal loading and elastic field is symmetric. Using incompressible material's constitutive equation, we extract governing differential equation of four orders; to solution this equation, we utilize general differential quadrature (GDQ) method and the results are schematically pictured. The obtained result in a particular case is compared with another work and coincidence of results is shown. We will find out that surface effect tends to split micro disc's area to compressive and tensile while nonlocal parameter tries to converge different behaviors with each other; this convergence feature make FGIMs capable to resist in high temperature and so in terms of thermo-elastic behavior we can suggest, using FGIMs in micro devices such as micro turbines (under glass transition temperature).

Development of new predictive analysis in the orthogonal metal cutting process by utilization of Oxley's machining theory

  • Abdelkader, Karas;Mohamed, Bouzit;Mustapha, Belarbi;Redha, Mazouzi
    • Steel and Composite Structures
    • /
    • v.19 no.6
    • /
    • pp.1467-1481
    • /
    • 2015
  • This paper presents a contribution to improving an analytical thermo-mechanical modeling of Oxley's machining theory of orthogonal metals cutting, which objective is the prediction of the cutting forces, the average stresses, temperatures and the geometric quantities in primary and secondary shear zones. These parameters will then be injected into the developed model of Karas et al. (2013) to predict temperature distributions at the tool-chip-workpiece interface. The amendment to Oxley's modified model is the reduction of the estimation of time-related variables cutting process such as cutting forces, temperatures in primary and secondary shear zones and geometric variables by the introduction the constitutive equation of Johnson-Cook model. The model-modified validation is performed by comparing some experimental results with the predictions for machining of 0.38% carbon steel.

Plasticity and Fracture Behaviors of Marine Structural Steel, Part V: Effects of Strain Rate and Temperature (조선 해양 구조물용 강재의 소성 및 파단 특성 V: 온도 의존성을 고려한 변형률 속도에 관한 실험적 연구)

  • Choung, Joon-Mo;Im, Sung-Woo;Kim, Kyung-Su
    • Journal of Ocean Engineering and Technology
    • /
    • v.25 no.3
    • /
    • pp.73-84
    • /
    • 2011
  • This is the fifth in a series of companion papers dealing with the dynamic hardening properties of various marine structural steels at intermediate strain rates. Five steps of strain rate levels (0.001, 1, 10, 100, 200/s) and three steps of temperature levels (LT ($-40^{\circ}C$), RT, and HT ($200^{\circ}C$)) were taken into account for the dynamic tensile tests of three types of marine structural steels: API 2W50 and Classifications EH36 and DH36. The total number of specimens was 180 pieces. It was seen that the effects of dynamic hardening became clearer at LT than at RT. Dynamic strain aging accompanying serrated flow stress curves was also observed from high temperature tests for all kinds of steels. The dynamic hardening factors (DHFs) at the two temperature levels of LT and RT were derived at the three plastic strain levels of 0.05, 0.10, 0.15 from dynamic tensile tests. Meanwhile, no DHFs were found for the high temperature tests because a slight negative strain rate dependency due to dynamic strain aging had occurred. A new formulation to determine material constant D in a Cowper-Symonds constitutive equation is provided as a function of the plastic strain rate, as well as the plastic strain level. The proposed formula is verified by comparing with test flow stress curves, not only at intermediate strain rate ranges but also at high strain rate ranges.

Deformation Characteristics of Udimet 720Li during Isothermal Forging (Udimet 720Li 합금의 항온단조 변형특성)

  • Yeom J. T.;Na Y. S.;Park N. K.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2001.05a
    • /
    • pp.190-193
    • /
    • 2001
  • Hot deformation behavior of Udimet 720Li was characterized by compression tests in the temperature range of $1025^{\circ}C\;to\;1150^{\circ}C$ and the strain rate rage of $0.0005s^{-1}\;to\;5s^{-1}$. In order to characterize the dependence of flow stress on strain, strain rate and temperature, a constitutive equation based on hyperbolic sine formation was used. Isothermal forging of Udimet 720Li was performed in the temperature range $1050-1150^{\circ}C$ at strain rates of $0.05s^{-1}\;and\;0.005s^{-1}$. FE simulation was also carried out to predict deformation microstructures during isothermal forging.

  • PDF

Effect of the Variation of Fiber Openness on the Draft Irregularity (Fiber Openness의 변동이 Draft 불균제에 미치는 영향)

  • Heo, Yu;Kim, Jong-Sung;Kwak, Dowoong
    • Proceedings of the Korean Fiber Society Conference
    • /
    • 2003.04a
    • /
    • pp.157-160
    • /
    • 2003
  • 드래프트 공정을 거친 슬라이버의 선밀도 불균제는 제품의 품질과 공정의 효율 면에서 많은 문제를 일으킨다. 이러한 불균제의 특성을 해석하고 균제성을 제고하기 위해서는 실제 불균제가 발생하는 드래프트 존 내에서 섬유집속체의 동적거동을 정확하게 묘사해 줄 이론적 모델 연구가 필요하다. 본 연구에서는 이미 제시한 드래프트 존 내에서의 섬유의 동적거동을 묘사하는 fundamental equation을 바탕으로 force-deformation의 관계를 나타내는 constitutive model의 주요 model parameter 변동이 출력 슬라이버의 두께 flucturation에 미치는 영향으르 찾아보기 위하여 model simulation을 하고, fiber openness와 직접적인 관련이 있는 model parameter u의 변동범위를 실험을 통해 살펴보았다. (중략)

  • PDF

High Temperature Compressive Deformation Behavior of Ti-6Al-2Sn-4Zr-6Mo Alloy (Ti-6Al-2Sn-4Zr-6Mo 합금의 고온압축 변형거동)

  • Hyun, Yong-Taek;Lee, Yong-Tai;Lee, Chan-Gyu
    • Korean Journal of Materials Research
    • /
    • v.11 no.2
    • /
    • pp.82-87
    • /
    • 2001
  • The hot deformation behavior of Ti-6Al-2Sn-4Zr-6Mo(Ti6246) alloy was investigated in both the $\alpha$+$\beta$ and $\beta$-phase fields by conducting compression tests over a strain rate range of $10^{-3}s^{-1}$ to $10^0s^{-1}$. The flow stress was increased with increasing strain rate and decreasing test temperature. The flow curves obtained at temperatures below 90$0^{\circ}C$ exhibited a flow softening. However, in the $\beta$-phase field, above 95$0^{\circ}C$, the flow stress increased monotonically with plastic strain approaching steady state values. Constitutive equations for the dependence of flow stress on strain, strain rate, and temperature were developed through the analysis of the flow curves.

  • PDF

Development of Elastic-Plastic Fracture Analysis Program for Structural Elements under an Impact Loadings (충격하중을 받는 구조부재의 탄소성 파괴해석 프로그램 개발)

  • K.S. Kim;J.B. Park
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.35 no.1
    • /
    • pp.61-71
    • /
    • 1998
  • This paper describes a dynamic fracture behaviors of structural elements under elastic or elasto-plastic stress waves in two dimensional space. The governing equation of this problem has the type of hyperbolic partial differential equation, which consists of the equation of motions and incremental elasto-plastic constitutive equations. To solve this problem we introduce Zwas' method which is based on the finite difference method. Additionally, in order to deal with the dynamic behavior of elasto-plastic problems, an elasto-plastic loading path in the stress space is proposed to model the plastic yield phenomenon. Based on the result of this computation, the dynamic stress intensity factor at the crack tip of an elastic material is calculated, and the time history of a plastic zone of a elasto-plastic material is to be shown.

  • PDF

Densification Behavior of Iron Powder during Cold Stepped Compaction

  • Kang, C.S.;Lee, S.C.;Kim, K.T.;Rozenberg, O.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
    • /
    • 2006.09a
    • /
    • pp.183-184
    • /
    • 2006
  • Densification behavior of iron powder under cold stepped compaction was studied. Experimental data were also obtained for iron powder under cold stepped compaction. The elastoplastic constitutive equation based on the yield function of Shima and Oyane was implemented into a finite element program (ABAQUS) to simulate compaction responses of iron powder during cold stepped compaction. Finite element results were compared with experimental data for densification, deformed geometry and density distribution.

  • PDF